Asked by Andile
The sum of the first and second terms of an geometry series is 9.the sum to infinit is 12.calculate the possible values of r.
Answers
Answered by
Reiny
a + ar = 9
a(1+r) = 9
a = 9/(1+r)
a/(1-r) = 12
a = 12(1-r)
12(1-r) = 9/(1+r)
1 - r^2 = 3/4
4 - r^2 = 3
-r^2 = -1
r = ± 1
a(1+r) = 9
a = 9/(1+r)
a/(1-r) = 12
a = 12(1-r)
12(1-r) = 9/(1+r)
1 - r^2 = 3/4
4 - r^2 = 3
-r^2 = -1
r = ± 1
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